nLab Clifford module bundle

Contents

Context

Spin geometry

spin geometry, string geometry, fivebrane geometry …

Ingredients

Spin geometry

rotation groups in low dimensions:

Dynkin label	sp. orth. group	spin group	pin group	semi-spin group
	SO(2)	Spin(2)	Pin(2)
B1	SO(3)	Spin(3)	Pin(3)
D2	SO(4)	Spin(4)	Pin(4)
B2	SO(5)	Spin(5)	Pin(5)
D3	SO(6)	Spin(6)
B3	SO(7)	Spin(7)
D4	SO(8)	Spin(8)		SO(8)
B4	SO(9)	Spin(9)
D5	SO(10)	Spin(10)
B5	SO(11)	Spin(11)
D6	SO(12)	Spin(12)
	$\vdots$	$\vdots$
D8	SO(16)	Spin(16)		SemiSpin(16)
	$\vdots$	$\vdots$
D16	SO(32)	Spin(32)		SemiSpin(32)

see also

String geometry

string geometry

Fivebrane geometry

Ninebrane geometry

ninebrane 10-group

Bundles

Contents

Idea
Related pages
References

Idea

A fiber bundle of Clifford modules.

For instance a spinor bundle.

Related pages

References

H. Blaine Lawson, Marie-Louise Michelsohn, chapter II, section 3 Spin geometry, Princeton University Press (1989)

Last revised on November 24, 2014 at 19:10:26. See the history of this page for a list of all contributions to it.